Numerical PDE Analysis of Retinal Neovascularization

Written By William E. Schiesser
Numerical PDE Analysis of Retinal Neovascularization
  • Publsiher : Academic Press
  • Release : 14 June 2019
  • ISBN : 0128184531
  • Pages : 144 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Numerical PDE Analysis of Retinal Neovascularization written by William E. Schiesser which was release on 14 June 2019, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point—a system of three partial differential equations (PDEs)—that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics. Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to the mathematical model and algorithms Authored by a leading researcher and educator in PDE models

Numerical PDE Analysis of Retinal Neovascularization

Numerical PDE Analysis of Retinal Neovascularization
  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Release Date : 2019-06-14
  • Total pages : 144
  • ISBN : 0128184531
GET BOOK

Summary : Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point—a system of three partial differential equations (PDEs)—that define the evolution of (1) capillary tip density, (2) blood capillary ...